Email this article Stability and stabilization of one class of linear nonstationary constant-delay systems
- Authors: Grebenshchikov B.G.1, Lozhnikov A.B.1,2
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Affiliations:
- Yeltsin Ural Federal University
- Krasovskii Institute of Mathematics and Mechanics
- Issue: Vol 56, No 2 (2017)
- Pages: 173-185
- Section: Stability
- URL: https://journals.rcsi.science/1064-2307/article/view/219821
- DOI: https://doi.org/10.1134/S1064230717020095
- ID: 219821
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Abstract
The algorithms for stabilizing particular systems of differential equations with a constant delay are proposed; here, the right side of one of subsystems contains the multiplier et. The sufficient conditions of the instability and the stability in a first approximation are obtained.
About the authors
B. G. Grebenshchikov
Yeltsin Ural Federal University
Author for correspondence.
Email: b.g.grebenshchikov@urfu.ru
Russian Federation, Yekaterinburg, 620002
A. B. Lozhnikov
Yeltsin Ural Federal University; Krasovskii Institute of Mathematics and Mechanics
Email: b.g.grebenshchikov@urfu.ru
Russian Federation, Yekaterinburg, 620002; Yekaterinburg, 620990
